Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456ba |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
37052347318272 = 226 · 33 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 11+ 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2359105,-1395448801] |
[a1,a2,a3,a4,a6] |
j |
5538928862777598289/141343488 |
j-invariant |
L |
0.73091011589127 |
L(r)(E,1)/r! |
Ω |
0.12181835264864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456bt2 858i2 82368ca2 |
Quadratic twists by: -4 8 -3 |